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Finding the Third Proportional to 31,916.53 and 48,319.03

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Solution

The third proportional to 31,916.53 and 48,319.03 is: 73,151.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,916.53 : 48,319.03 = 48,319.03 : x
  2. Step 2: Convert to fraction form
    31,916.53/48,319.03 = 48,319.03/x
  3. Step 3: Cross multiply
    31,916.53x = 48,319.03 × 48,319.03
  4. Step 4: Simplify right side
    31,916.53x = 2,334,728,780.94
  5. Step 5: Solve for x
    x = 2,334,728,780.94/31,916.53
  6. Step 6: Final answer
    x = 73,151.08

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.